A Gauss-Borel factorization of a rectangular moment matrix yields the first systematic framework for mixed multiple orthogonal Laurent polynomials on the unit circle, with Christoffel and Geronimus perturbation formulas.
Ariznabarreta and M Mañas, Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems,Advances in Mathematics 264 (2014) 396–463
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Mixed Multiple Orthogonal Laurent Polynomials on the Unit Circle
A Gauss-Borel factorization of a rectangular moment matrix yields the first systematic framework for mixed multiple orthogonal Laurent polynomials on the unit circle, with Christoffel and Geronimus perturbation formulas.